About this Simulation

This interactive simulation helps learners understand the difference quotient—the foundation of calculus. By adjusting two points on a curve, students visualise how the secant line gradually becomes a tangent line as the interval shrinks. Explore the relationship between average rate of change and instantaneous rate of change through dynamic, visual feedback.

Learning objectives: Understand how the difference quotient approximates the derivative | Visualise the limiting process as the interval approaches zero | Connect geometric interpretation (slope) to algebraic limit notation